Problem 4: Localization with Three Range Measurements Suppose three sensors provide range measurements with respect to a target as shown below. Sensor 1: located at (x1,y1) = (2, 3) m Sensor 2: located at (x2, y2) = (-1,2) m Sensor 3: located at (x3, y3) = (0, 0) m Find the position of the target (x, y). detects range r₁ = 5 (m) detects range r₂ = 3 (m) detects range r3 = √√2 (m) Page 4 of 5

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Problem 4: Localization with Three Range Measurements
Suppose three sensors provide range measurements with respect to a target as shown below.
Sensor 1: located at (x1,y1) = (2, 3) m
Sensor 2: located at (x2, y2) = (-1,2) m
Sensor 3: located at (x3, y3) = (0, 0) m
Find the position of the target (x, y).
detects range r₁ = 5 (m)
detects range r₂ = 3 (m)
detects range r3 = √√2 (m)
Page 4 of 5
Transcribed Image Text:Problem 4: Localization with Three Range Measurements Suppose three sensors provide range measurements with respect to a target as shown below. Sensor 1: located at (x1,y1) = (2, 3) m Sensor 2: located at (x2, y2) = (-1,2) m Sensor 3: located at (x3, y3) = (0, 0) m Find the position of the target (x, y). detects range r₁ = 5 (m) detects range r₂ = 3 (m) detects range r3 = √√2 (m) Page 4 of 5
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